Use the FOIL pattern to find the product.
(8t + 11)(6t - 1)
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Use the given information to find the number of pivot variables and the number of parameters in a general solution of the system Ax = 0. A is a 5 times 8 with rank 3. A is a 7 times 4 matrix with nullity 2. A is a 6 times.

Use the given zero to find all the zeros of the function. (Enter your answers as a comma-separated list. Include the given zero in your answer.)
and......
Use the given zero to find all the zeros of the function. (Enter your answers as a.

Use the given functions to evaluate the statements. F(g(-3))= (fog)(2)= F(g(-2))=
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Use the intermediate value theorem to find the real zero of the given polynomial correct to two decimal places.
f(x)=4x5+5x+4
(Round the final answer to two decimal places as needed. Round all intermediate values to four decimal places as needed.)
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Use the linear approximation of the function f(x) = sqrt(7-x) at a = 0 to approximate the number sqrt(7.1)
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Use the Laws of logarithms to rewrite the expression log_5 3 squareroot x^2 + 19 in a form with no logarithm of a product, quotient or power. After rewriting we have log_5 3 squareroot x^2 + 19 = A log_5 f(x) with the constant A = and the function f(x).

Use the method of Lagrange multipliers to solve the following problem. A building in the shape of a rectangular box is to have a volume of 12,000 ft^3. It is estimated that the annual heating and cooling costs WiII be $2/square foot for the top, $4/square foot for the front.

Use the Master Method to asymptotically bound the following recurrences. Assume T(n) is constant for n lessthanorequalto 2. Also state what case of the Master Method you used and, if the method is not applicable, indicate why. T(n) = 2T(n/2) + lg n T(n)= T(n-1) + n T(n) = 7.

Use the intermediate value theorem to deternine whether the function f(x)=x^3+6x-8 has a root or not between x=1 and x=2. If yes, then find the root to five decimal places.
Please show work. I am having a really hard time with Newton's Method. :(
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Use the vectors u = (4,2), v = (-4,3), and w = (6, -2) to find the indicated quality. State whether the result is a vector or a scalar.
(3w * v)u
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Use the iteration method to solve it (the one that goes on a(1) = , a(2)= , a(3)= , etc) with steps.
Use the iteration method to solve the recurrence relation (the one that goes on a(1) = , a(2)= , a(3)= , etc) with steps.
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Use the given information about the geometric sequence to answer the question.
Given that \(a_{3}=-2 \) and \(a_{13}\) what is \( a_{4}=-16\) ?
OR
Given that \(a_{3}=-2, and, a_{4}=-16, what, is, a_{13} \) ?
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Use the distributive property and other algebraic properties to demonstrate and explain why multiplying two negative integers yields a positive product. Use 5(-7) as your problem.
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Use the rational zeros theorem to find all the real zeros of the polynomial function Use the zeros to factor f over the real numbers f(x)=4x^4 + 9x^3 + 14x^2 +27x + 6 Find the real zeros of f Select the correct choice below and fill in any answer boxes.